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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - Currency Futures Contracts [Member] - Not Designated as Hedging Instrument [Member] - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2020
Sep. 30, 2019
Derivative Instruments, Gain (Loss) [Line Items]        
Futures contracts, realized gain (loss) $ (11,617,887) $ 6,743,928 $ (36,671,680) $ 8,238,448
Futures contracts, unrealized gain (loss) (2,916,978) 5,787,029 2,989,942 7,859,229
Future Contracts, Net Realized and Unrealized Gain (Loss) $ (14,534,865) $ 12,530,957 $ (33,681,738) $ 16,097,677